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Finding the Fourth Proportional to 294.52, 441.74 and 121.20

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Solution

The fourth proportional to 294.52, 441.74 and 121.20 is: 181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.52 : 441.74 = 121.20 : x
  2. Step 2: Convert to fraction form
    294.52/441.74 = 121.20/x
  3. Step 3: Cross multiply
    294.52x = 441.74 × 121.20
  4. Step 4: Simplify right side
    294.52x = 53,538.89
  5. Step 5: Solve for x
    x = 53,538.89/294.52
  6. Step 6: Final answer
    x = 181.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.